Spectral iterative method and convergence analysis for solving nonlinear fractional differential equation

DOI10.1016/j.jcp.2018.01.020zbMath1422.65109OpenAlexW2792027044WikidataQ115350120 ScholiaQ115350120MaRDI QIDQ1709036

Peng Zhang

Publication date: 27 March 2018

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2018.01.020

zbMATH Keywords

error analysisfractional differential equationssingularity indexspectral iterative method

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Oscillation theory of functional-differential equations (34K11) Numerical methods for initial value problems involving ordinary differential equations (65L05) Functional-differential equations with fractional derivatives (34K37)

Related Items (7)

A spectral framework for fractional variational problems based on fractional Jacobi functions ⋮ A priori error estimates of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions ⋮ On the order reduction of approximations of fractional derivatives: an explanation and a cure ⋮ Solving Parametric Fractional Differential Equations Arising from the Rough Heston Model Using Quasi-Linearization and Spectral Collocation ⋮ Piecewise fractional interpolation with application to fractional differential equation ⋮ Error estimates of generalized spectral iterative methods with accurate convergence rates for solving systems of fractional two-point boundary value problems ⋮ Galerkin finite element method for nonlinear fractional differential equations

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